Question

A line passes through (-5, -3) and is parallel to -3x - 7y= 10. The equation of the line in slope-intercept form is

Y=-3/7x-36/7
Y=-3/7x-6/7
Y=-7/3x-36/7
Y=-7/3x-6/7

Answer 1

A.

Explanation:

-3x-7y = 10

In slope - intercept form

y = -3/7x - 10/7

Since the lines are parallel so the slopes will be equal

m = -3/7

Now

Point = (x,y) = (-5,-3)

So, x = -5, y = -3

Putting in slope intercept form to find b

y = mx+b

-3 = (-3/7)(-5) + b

-3 = 15/7 + b

7b = -21-15

7b = -36

b = -36/7

Now the slope intercept form for the line is

y = -3/7x-36/7